{"title":"EXISTENCE OF AT LEAST TWO SOLUTIONS FOR DOUBLE PHASE PROBLEM","authors":"B. Ge, Wen-Shuo Yuan","doi":"10.11948/20210273","DOIUrl":"https://doi.org/10.11948/20210273","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128540242","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"SOLVING FUZZY FRACTIONAL EVOLUTION EQUATIONS WITH DELAY AND NONLOCAL CONDITIONS","authors":"Xuping Zhang, Donal O'Regan","doi":"10.11948/20220269","DOIUrl":"https://doi.org/10.11948/20220269","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122866896","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"MULTIPLE SOLUTIONS FOR A CLASS OF MODIFIED QUASILINEAR FOURTH-ORDER ELLIPTIC EQUATIONS","authors":"Zijian Wu, Haibo Chen","doi":"10.11948/20210401","DOIUrl":"https://doi.org/10.11948/20210401","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122908842","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"APPROXIMATE CONTROLLABILITY OF RIEMANN-LIOUVILLE FRACTIONAL STOCHASTIC EVOLUTION SYSTEMS","authors":"He Yang, Yongxiang Li","doi":"10.11948/20230006","DOIUrl":"https://doi.org/10.11948/20230006","url":null,"abstract":"This paper deals with the existence as well as the approximate controllability of Riemann-Liouville fractional stochastic evolution systems of Sobolev type with nonlocal initial conditions in abstract spaces. When the operator semigroup is noncompact and the nonlocal function is not Lipschitz continuous and not compact, the existence as well as the approximate controllability of the concerned problem are investigated. Finally, an application example is given.","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124091377","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Zulqurnain Sabir, Muhammad Asif Zahoor Raja, R. Sadat, Khaled. S. Ahmed, Mohamed R. Ali, and Wael Al-Kouz
{"title":"FRACTIONAL MEYER NEURAL NETWORK PROCEDURES OPTIMIZED BY THE GENETIC ALGORITHM TO SOLVE THE BAGLEY-TORVIK MODEL","authors":"Zulqurnain Sabir, Muhammad Asif Zahoor Raja, R. Sadat, Khaled. S. Ahmed, Mohamed R. Ali, and Wael Al-Kouz","doi":"10.11948/20220019","DOIUrl":"https://doi.org/10.11948/20220019","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127928365","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Józef Banaś, Agnieszka Chlebowicz, Mohamed-Aziz Taoudi
{"title":"ON SOLUTIONS OF INFINITE SYSTEMS OF INTEGRAL EQUATIONS COORDINATEWISE CONVERGING AT INFINITY","authors":"Józef Banaś, Agnieszka Chlebowicz, Mohamed-Aziz Taoudi","doi":"10.11948/20210385","DOIUrl":"https://doi.org/10.11948/20210385","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128927599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"DARBOUX TRANSFORMATION, EXACT SOLUTIONS OF THE VARIABLE COEFFICIENT NONLOCAL FOKAS-LENELLS EQUATION","authors":"Feng Zhang, Yuru Hu, Xiangpeng Xin, Hanze Liu","doi":"10.11948/20210328","DOIUrl":"https://doi.org/10.11948/20210328","url":null,"abstract":"In this paper, a (1+1)-dimensional integrable variable coefficient nonlocal Fokas-Lenells (NFL) equation is studied. On the basis of the Lax pair, the Darboux transformation of the variable coefficient NFL equation is constructed at the first time and an explicit form of the N-fold Darboux transformation is given. The exact solutions of the variable coefficient NFL equation are derived using the zero seed solution and the nonzero seed solution according to the Darboux transformation. Subsequently, one-soliton solution, two-soliton solution, and kink solution with periodic waves are obtained by choosing the proper parameters and plotting the corresponding figures. With the help of figures, the behaviors of the obtained solutions are revealed and it is possible to find that the interaction between solitons is elastic no matter the coefficient function is constant or arbitrary variable. In addition, this paper also indicates that the exact solutions of the variable coefficient NFL equation are more general than its constant coefficient form.","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128612583","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Martin Bohner, Hassan El-Morshedy, Said Grace, Irena Jadlovská
{"title":"OSCILLATION OF SECOND-ORDER HALF-LINEAR NEUTRAL NONCANONICAL DYNAMIC EQUATIONS","authors":"Martin Bohner, Hassan El-Morshedy, Said Grace, Irena Jadlovská","doi":"10.11948/20220484","DOIUrl":"https://doi.org/10.11948/20220484","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128646742","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}